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A090031 Number of configurations of the 5 X 5 variant of sliding block 15-puzzle ("24-puzzle") that require a minimum of n moves to be reached, starting with the empty square in one of the corners. +0
7
1, 2, 4, 10, 26, 64, 159, 366, 862, 1904, 4538, 10238, 24098, 53186, 123435, 268416, 616374 (list; graph; listen)
OFFSET

0,2

COMMENT

The 15-block puzzle is often referred to (incorrectly) as Sam Loyd's 15-Puzzle.

114 <= (number of last sequence term) <= 210. Sum of sequence terms=A088020(5)/2.

REFERENCES

See A087725 for references.

LINKS

Hugo Pfoertner, Configuration counts for n*n sliding block puzzles.

PROGRAM

See link in A089473.

CROSSREFS

Cf. A087725, A089473, A089484, A090032.

Sequence in context: A007021 A100605 A154322 this_sequence A055775 A090032 A090377

Adjacent sequences: A090028 A090029 A090030 this_sequence A090032 A090033 A090034

KEYWORD

fini,hard,more,nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Nov 25 2003

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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